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Compact operators on the Jordan totient sequence spaces
Author(s) -
İlkhan Merve,
Kara Evren Emrah,
Usta Fuat
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6537
Subject(s) - mathematics , hausdorff space , sequence (biology) , hausdorff measure , compact space , banach space , pure mathematics , measure (data warehouse) , operator (biology) , compact operator , discrete mathematics , hausdorff dimension , computer science , biochemistry , chemistry , genetics , repressor , database , transcription factor , gene , extension (predicate logic) , biology , programming language
The necessary and sufficient conditions for compactness of a matrix operator between Banach spaces is obtained by utilizing the concept of the Hausdorff measure of noncompactness. This is one of the most interesting application in the theory of sequence spaces. In this paper, the compact operators are characterized on Jordan totient sequence spaces by using the concept of the Hausdorff measure of noncompactness.